105607 has 2 divisors, whose sum is σ = 105608. Its totient is φ = 105606.

The previous prime is 105601. The next prime is 105613. The reversal of 105607 is 706501.

It is a balanced prime because it is at equal distance from previous prime (105601) and next prime (105613).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105607 is a prime.

It is a super-2 number, since 2×105607² = 22305676898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52803 + 52804.

It is an arithmetic number, because the mean of its divisors is an integer number (52804).

2¹⁰⁵⁶⁰⁷ is an apocalyptic number.

105607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105607 is an equidigital number, since it uses as much as digits as its factorization.

105607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105607 is about 324.9723065124. The cubic root of 105607 is about 47.2676743972.

It can be divided in two parts, 10560 and 7, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 105607 in words is "one hundred five thousand, six hundred seven".